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Cellular ceramic substrates are extensively used for pollution control systems in vehicles. The manufacturing process of them can involve microwave drying. In this study, we describe the development of a modeling framework for the microwave drying process of these substrates. The transport model is implemented in COMSOL 3.5a using 4 PDEs: 1) Convection-Conduction for temperature, 2) Convection-diffusion for liquid water, 3) Darcy’s flow equation for liquid water phase and 4) Stefan-Maxwell’s equation for gas phase components.